Base | Representation |
---|---|

bin | 1001001011001001111101… |

… | …0000000001011110110000 |

3 | 1022201022222010212221101021 |

4 | 2102302133100001132300 |

5 | 2310232144234114340 |

6 | 33242004310145224 |

7 | 2060531403455440 |

oct | 222623720013660 |

9 | 38638863787337 |

10 | 10087254988720 |

11 | 3239a87515548 |

12 | 116ab89352214 |

13 | 5822bb364570 |

14 | 26c32363c120 |

15 | 1275d52e7e4a |

hex | 92c9f4017b0 |

10087254988720 has 80 divisors (see below), whose sum is σ = 28865068142400. Its totient is φ = 3192449928192.

The previous prime is 10087254988693. The next prime is 10087254988787. The reversal of 10087254988720 is 2788945278001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 692798695 + ... + 692813254.

It is an arithmetic number, because the mean of its divisors is an integer number (360813351780).

Almost surely, 2^{10087254988720} is an apocalyptic number.

10087254988720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10087254988720 is an abundant number, since it is smaller than the sum of its proper divisors (18777813153680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10087254988720 is a wasteful number, since it uses less digits than its factorization.

10087254988720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385611982 (or 1385611976 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 61.

The spelling of 10087254988720 in words is "ten trillion, eighty-seven billion, two hundred fifty-four million, nine hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 1385611949 2771223898 5542447796 6928059745 9699283643 11084895592 13856119490 18012955337 19398567286 22169791184 27712238980 36025910674 38797134572 48496418215 55424477960 72051821348 77594269144 90064776685 96992836430 110848955920 126090687359 144103642696 155188538288 180129553370 193985672860 252181374718 288207285392 360259106740 387971345720 504362749436 630453436795 720518213480 775942691440 1008725498872 1260906873590 1441036426960 2017450997744 2521813747180 5043627494360 10087254988720

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